What is the Greatest Common Factor of 35010 and 35020?

Greatest common factor (GCF) of 35010 and 35020 is 10.

GCF(35010,35020) = 10

We will now calculate the prime factors of 35010 and 35020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35010 and 35020.

How to find the GCF of 35010 and 35020?

We will first find the prime factorization of 35010 and 35020. After we will calculate the factors of 35010 and 35020 and find the biggest common factor number .

Step-1: Prime Factorization of 35010

Prime factors of 35010 are 2, 3, 5, 389. Prime factorization of 35010 in exponential form is:

35010 = 2¹ × 3² × 5¹ × 389¹

Step-2: Prime Factorization of 35020

Prime factors of 35020 are 2, 5, 17, 103. Prime factorization of 35020 in exponential form is:

35020 = 2² × 5¹ × 17¹ × 103¹

Step-3: Factors of 35010

List of positive integer factors of 35010 that divides 35010 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 389, 778, 1167, 1945, 2334, 3501, 3890, 5835, 7002, 11670, 17505

Step-4: Factors of 35020

List of positive integer factors of 35020 that divides 35010 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 103, 170, 206, 340, 412, 515, 1030, 1751, 2060, 3502, 7004, 8755, 17510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35010 and 35020. The biggest common factor number is the GCF number.
So the greatest common factor 35010 and 35020 is 10.

Also check out the Least Common Multiple of 35010 and 35020